3x+9=13-4x

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Solution for 3x+9=13-4x equation:


Simplifying
3x + 9 = 13 + -4x

Reorder the terms:
9 + 3x = 13 + -4x

Solving
9 + 3x = 13 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
9 + 3x + 4x = 13 + -4x + 4x

Combine like terms: 3x + 4x = 7x
9 + 7x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
9 + 7x = 13 + 0
9 + 7x = 13

Add '-9' to each side of the equation.
9 + -9 + 7x = 13 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = 13 + -9
7x = 13 + -9

Combine like terms: 13 + -9 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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